We develop a new method for relativistic energy density functional (EDF) calculations in the 3-dimensional (3D) coordinate-space representation without assuming any spatial symmetry. To this end, we overcome the two difficulties in solving Dirac equations on 3D lattice, that is, “variational collapse” and “fermion doubling”, with the techniques based on the ideas of the Wilson fermion as well as the variational principle for the inverse of Hamiltonian. We apply our method to investigation of the exotic deformations in the 80Zr nucleus.

1.
M.
Bender
,
P.-H.
Heenen
, and
P.-G.
Reinhard
,
Rev. Mod. Phys.
75
,
121
(
2003
).
2.
B. D.
Serot
and
J. D.
Walecka
,
Adv. Nucl. Phys.
16
,
1
(
1986
).
3.
G. A.
Lalazissis
,
P.
Ring
, and
D.
Vretenar
,
Extended Density Functionals in Nuclear Physics
, (
Springer-Verlag
Berlin Heidelberg
,
2011
).
4.
K. T. R.
Davies
,
H.
Flocard
,
S.
Krieger
, and
M. S.
Weiss
,
Nucl. Phys. A
342
,
111
(
1980
).
5.
K.
Rutz
Struktur von Atomkernen im Relativistic-Mean-Field-Modell
, Doctoral Dissertation,
J. W. Goethe Universitat Frankfurt am Main
(
1999
).
6.
M.
Bender
,
K.
Rutz
,
P.-G.
Reinhard
,
J. A.
Maruhn
, and
W.
Greiner
,
Phys. Rev. C
58
,
2126
(
1998
).
7.
H.
Wallmeier
and
W.
Kutzelnigg
,
Chem. Phys. Lett.
78
,
341
(
1981
).
8.
H.
Wallmeier
and
W.
Kutzelnigg
,
Phys. Rev. A
28
,
3092
(
1983
).
9.
R. E.
Stanton
and
S.
Havriliak
,
J. Chem. Phys.
81
,
1910
(
1984
).
10.
R. N.
Hill
and
C.
Krauthauser
,
Phys. Rev. Lett.
72
,
2151
(
1994
).
11.
Y.
Zhang
,
H.
Liang
, and
J.
Meng
,
Int. J. Mod. Phys. E
19
55
(
2010
).
12.
K.
Hagino
and
Y.
Tanimura
,
Phys. Rev. C
82
,
057301
(
2010
).
13.
Y.
Tanimura
,
K.
Hagino
and
P.
Ring
,
Phys. Rev. C
88
,
017301
(
2013
).
14.
Y.
Tanimura
,
K.
Hagino
and
H.
Liang
,
Prog. Theor. Expt. Phys.
073D01
(
2015
).
15.
K. G.
Wilson
,
New Phenomena in Subnuclear Physics, Part A, The Subnuclear Series
Volume
13
,
69
(
1977
).
16.
J. B.
Kogut
,
Rev. Mod. Phys.
55
,
775
(
1983
).
17.
A.
Staszczak
,
M.
Stoitsov
,
A.
Baran
, and
W.
Nazarewicz
,
Eur. Phys. J. A
46
,
85
(
2010
).
18.
T.
Bürvenich
,
D. G.
Madland
,
J. A.
Maruhn
, and
P.-G.
Reinhard
,
Phys. Rev. C
65
,
044308
(
2002
).
19.
S.
Takami
,
K.
Yabana
,
M.
Matsuo
,
Phys. Lett. B
431
242
(
1998
).
20.
M.
Yamagami
,
K.
Matsuyanagi
, and
M.
Matsuo
,
Nucl. Phys. A
693
,
579
(
2001
).
21.
Xunjun
Li
and
Jerzy
Dudek
,
Phys. Rev. C
49
,
R1250
(
1994
).
22.
J.
Dudek
,
A.
Goźdź
,
N.
Schunck
, and
M.
Miśkiewicz
,
Phys. Rev. Lett.
88
,
252502
(
2002
).
23.
H.
Liang
,
T.
Nakatsukasa
,
Z.
Niu
, and
J.
Meng
,
Phys. Rev. C
87
,
054310
(
2013
).
24.
H.
Liang
,
T.
Nakatsukasa
,
Z.
Niu
, and
J.
Meng
,
Phys. Scr.
89
,
054018
(
2014
).
This content is only available via PDF.
You do not currently have access to this content.